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13331201331 = 378964311093
BaseRepresentation
bin11000110101001100…
…11111110100110011
31021102002000012021110
430122212133310303
5204300241420311
610042501524403
7651234225120
oct143246376463
937362005243
1013331201331
11572112a968
122700713703
131345ba5516
14906741747
155305758a6
hex31a99fd33

13331201331 has 32 divisors (see below), whose sum is σ = 20576263680. Its totient is φ = 7519843584.

The previous prime is 13331201267. The next prime is 13331201341. The reversal of 13331201331 is 13310213331.

It is not a de Polignac number, because 13331201331 - 26 = 13331201267 is a prime.

It is a super-2 number, since 2×133312013312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13331201298 and 13331201307.

It is not an unprimeable number, because it can be changed into a prime (13331201341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1196221 + ... + 1207313.

It is an arithmetic number, because the mean of its divisors is an integer number (643008240).

Almost surely, 213331201331 is an apocalyptic number.

13331201331 is a deficient number, since it is larger than the sum of its proper divisors (7245062349).

13331201331 is a wasteful number, since it uses less digits than its factorization.

13331201331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11835.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13331201331 its reverse (13310213331), we get a palindrome (26641414662).

The spelling of 13331201331 in words is "thirteen billion, three hundred thirty-one million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 3 7 21 89 267 623 643 1869 1929 4501 11093 13503 33279 57227 77651 171681 232953 400589 987277 1201767 2961831 6910939 7132799 20732817 21398397 49929593 149788779 634819111 1904457333 4443733777 13331201331